Article ID: | iaor20115701 |
Volume: | 217 |
Issue: | 22 |
Start Page Number: | 9313 |
End Page Number: | 9321 |
Publication Date: | Jul 2011 |
Journal: | Applied Mathematics and Computation |
Authors: | Chen Shaochun, Zheng Yanjun, Mao Shipeng |
Keywords: | Newton method, Lagrangian methods |
In this paper, using the Newton’s formula of Lagrange interpolation, we present a new proof of the anisotropic error bounds for Lagrange interpolation of any order on the triangle, rectangle, tetrahedron and cube in a unified way.